Question

If a square is cut along its diagonal into two triangles, what will be the sum of areas of those two triangles?

• A. Be more than the square
• B. Same as that of the square
• C. Be less than the square
• D. area of one triangle

Answer 1

The correct option is

B

Same as that of the square

Sum of areas of the triangles will be same as that of the area of the square, it will be like calculating the area of two triangles which forms the square.
i.e., area of a triangle =$\frac{1}{2}\times$ area of square
Thus, the sum of area's of two triangle =2$\times \frac{1}{2}\times$ area of square.
Hence, the sum of area's of two triangle = area of square.